Displaying similar documents to “Search for Wieferich Primes through the use of Periodic Binary Strings”

The periodic problem for the second order integro-differential equations with distributed deviation

Sulkhan Mukhigulashvili, Veronika Novotná (2021)

Mathematica Bohemica

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We study the question of the unique solvability of the periodic type problem for the second order linear integro-differential equation with distributed argument deviation u ' ' ( t ) = p 0 ( t ) u ( t ) + ∫ 0 ω p ( t , s ) u ( τ ( t , s ) ) d s + q ( t ) , and on the basis of the obtained results by the a priori boundedness principle we prove the new results on the solvability of periodic type problem for the second order nonlinear functional differential equations, which are close to the linear integro-differential equations. The proved results are optimal in some...

Periodic solutions of nonlinear differential systems by the method of averaging

Zhanyong Li, Qihuai Liu, Kelei Zhang (2020)

Applications of Mathematics

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In many engineering problems, when studying the existence of periodic solutions to a nonlinear system with a small parameter via the local averaging theorem, it is necessary to verify some properties of the fundamental solution matrix to the corresponding linearized system along the periodic solution of the unperturbed system. But sometimes, it is difficult or it requires a lot of calculations. In this paper, a few simple and effective methods are introduced to investigate the existence...